1) 4m – 3(m + 1) – 4 < 0
A) m < 7
B) m > 7
C) m < -1
D) m < -7
A) m < 7
3) Find f(-2). f(x)=3x2 - 8x + 7
A) 3
B) 21
C) 35
D) 38
C) 35
4) Randy is on a diet. If Randy loses approximately 3 pounds a week, which of the choices is a reasonable estimate of the amount of time it will take her to lose 17 pounds?
A) between 2 and 3 weeks
B) between 3 and 4 weeks
C) between 4 and 5 weeks
D) between 5 and 6 weeks
D) between 5 and 6 weeks
17) Translate the phrase to an algebraic expression.
Eighty less than four times a number.
A) 4x - 80
B) 4x + 80
C) 4x ÷ 80
D) 80 - 4x
A) 4x - 80
33) The formula for potential energy is P = mgh, where P is potential energy, m is mass, g is gravity, and h is height. What is height h in terms of P, m, and g?
A)
P/(mg)
B)
Pm/ g
C)
m − P/g
D)
P − m/g
A)
P/(mg)
29) 8x + 1 < 2x − 4 < 6
A) x < 5
B) x > 5
C) x < 56
D) x < −56
D) x < −56
5) 12a + 12b + 12c + 12d
Michael writes the expression shown here as 12(a + b + c + d). He is correctly using the ___________ property.
A) associative
B) commutative
C) distributive
D) symmetric
C) distributive
15)
Which inequality's solution is graphed here?
A) x + 9 < 5
B) x - 5 < 9
C) x + 5 < 9
D) x - 9 < 5
C) x + 5 < 9
24) Rearrange the formula C = 2πr for r.
A) r = 2πC
B)
r = C/(2π )
C)
r = (2C)/π
D)
r = (2π)/C
B)
r = C/(2π )
34) Beverly moved into an apartment close to her new job. She will be paying $1,800 per month in rent and expects a 3% rent increase each year. Express the rent y as an exponential function of the number of years rented, x.
A)
y = 1,800(0.03)^x
B)
y = 0.03(1,800)^x
C)
y = 1,800(1.03)^x
D)
y = 1.03(1,800)^x
C)
y = 1,800(1.03)^x
37) Given ƒ(x) = 14x + 42, find x when ƒ(x) = 35.
A) −1/2
B) −1
C) 1
D) 3
A) −1/2
12) Write y = 2x2 + 4 in function notation.
A) x = 2x2 + 4
B) f(x) = 2x2 + 4
C) f(y) = 2x2 + 4
D) f(y) = 2y2 + 4
B) f(x) = 2x2 + 4
16) If r is five less than three times l, then r =
A) 3l - 5
B) 5 - 3l
C) 5l - 3
D) 3(l - 5)
A) 3l - 5
26) Rearrange the formula A= 1/2 bh for h.
A) h = 2Ab
B) h = A/b
C) h = 2A/b
D) h = A/2b
C) h = 2A/b
36)
A student solved the given equation and justified every step except one. What is the missing reason?
A) Associative property of addition
B) Commutative property of addition
C) Multiplicative property of equality
D) Distributive property of multiplication over addition
A) Associative property of addition
35) Given the function ƒ(x) = 2x3 − 7x2 − 5x + 1, find ƒ(−2).
A) ƒ(−2) = −28
B) ƒ(−2) = −32
C) ƒ(−2) = −33
D) ƒ(−2) = −36
C) ƒ(−2) = −33
13) Determine the value of x when f(x) = 8.
f(x)= 7/(1-x)
What is the value of x when f(x) = 8?
A) −1
B) 0
C) 1
D) 1/8
D) 1/8
20) Consider the sequence of steps to solve the equation:
5(x - 3) = 7x2
Step 1 ⇒ 10(x - 3) = 7x
Step 2 ⇒ 10x - 30 = 7x
Step 3 ⇒ 3x - 30 = 0
Step 4 ⇒ 3x = 30
Step 5 ⇒ x = 10
Identify the property of equality which gets us from Step 3 to Step 4.
A) Division Property
B) Addition Property
C) Subtraction Property
D) Multiplication Property
B) Addition Property
27) Which property of equality is represented?
If 7x + 6 = 2 and 2 = 6y, then 7x + 6 = 6y
A) distributive
B) reflexive
C) symmetric
D) transitive
D) transitive
32) The value of a car decreases $500 for every 1,000 miles it is driven. The current value of the car is $23,000, and the car is driven an average of 10,000 miles per year. What will be the value of the car, in dollars, at a point in time y years from now?
A) $23,000 − $500y
B) $23,000 − $0.02y
C) $23,000 − $5,000y
D) $23,000 − $0.0002y
C) $23,000 − $5,000y
2) Which of the inequalities represents the statement, "Two times a number x, less 15, is greater than or equal to 4 times the number y"?
A) 2x - 15 ≤ 4y
B) 2x - 15 ≥ 4y
C) 2x + 15 ≤ 4y
D) 15 - 2x ≤ 4y
B) 2x - 15 ≥ 4y
14) Solve the equation for y: -8x + 4y = 20
A) y = 2x - 5
B) y = 2x + 5
C) y = 1/2x + 5
D) y = 1/2x + 20
B) y = 2x + 5
18)
Brent is trying to figure out the relationship between the number of times his friends post on social media and their grade point averages. He records the collected data on a scatter plot. Which of the linear functions best models the line of best fit? What does the slope in the equation represent?
A) y = 0.004x - 4; the average number of posts per friend
B) y = -0.5x - 4; the amount of decrease in the GPA for each post
C) y = 0.05x - 4; the amount of increase in the GPA for each post
D) y = -0.004x + 4; the amount of decrease in the GPA for each post
D) y = -0.004x + 4; the amount of decrease in the GPA for each post
19) Solve for q:
qrv + 11 = 30
A)
q=889/(rv)
B)
q = 900/(rv)
C)
q = 889/(rv^2)
D)
q = sqrt889/(rv)
A)
q=889/(rv)
30)
Artie sells ice cream from a cart. The items, their prices, and the quantity sold on an average day are shown in the table. Which expression is equivalent to a single day of ice cream sales?
A) 1.75a + 2.25(b + c) + 2.75a
B) 4.5a + 4b + 2.25c
C) 10.75(a + b + c)
D) 10.75abc
B) 4.5a + 4b + 2.25c